## A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |

### From inside the book

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Page 296

... triangles be identical , or equal in all respects . C F B D E For conceive the

... triangles be identical , or equal in all respects . C F B D E For conceive the

**triangle ABC**to be applied to , or placed on , the triangle DEF , in such a manner that the point C may coincide with the point F , and the side AC with the ... Page 297

... triangles will be identical . A A For , conceive the

... triangles will be identical . A A For , conceive the

**triangle ABC**to be placed on the triangle DEF , in such manner that the side AB may fall exactly on the equal side DE . Then , since the angle A is equal to the angle D ( hyp ... Page 298

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**ABC**( ax . 8 ) . Consequently the two angles**ABC**, ABD , are also equal to two right angles . Cor . 1. Hence also ...**triangle**is produced , the outward angle is greater than either of the two inward opposite angles . LET**ABC**be a ... Page 299

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**triangle**has two of its angles equal , the sides opposite to them are also equal . FOR draw CD perpendicular to the ...**ABC**, ABD , have their three sides respectively equal , viz . the side AB equal to AB , AC to AD , and BC to BD ... Page 300

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**triangle**is opposite to the greater angle ; and the greater angle opposite to the greater side . LET**ABC**be a**triangle**, having the side AB greater than the side AC ; then will the angle ACB , opposite the greater side AB , be greater ...### Other editions - View all

### Common terms and phrases

ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence